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Finding the Third Proportional to 474,379 and 1,016,555

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Solution

The third proportional to 474,379 and 1,016,555 is: 2,178,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,379 : 1,016,555 = 1,016,555 : x
  2. Step 2: Convert to fraction form
    474,379/1,016,555 = 1,016,555/x
  3. Step 3: Cross multiply
    474,379x = 1,016,555 × 1,016,555
  4. Step 4: Simplify right side
    474,379x = 1,033,384,068,025
  5. Step 5: Solve for x
    x = 1,033,384,068,025/474,379
  6. Step 6: Final answer
    x = 2,178,393.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.